232542400000 has 240 divisors, whose sum is σ = 586908685440. Its totient is φ = 92032000000.

The previous prime is 232542399989. The next prime is 232542400001. The reversal of 232542400000 is 4245232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232542400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161599281 + ... + 161600719.

It is an arithmetic number, because the mean of its divisors is an integer number (2445452856).

Almost surely, 2^232542400000 is an apocalyptic number.

232542400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293454342720).

232542400000 is an abundant number, since it is smaller than the sum of its proper divisors (354366285440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232542400000 is an frugal number, since it uses more digits than its factorization.

232542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 232542400000 its reverse (4245232), we get a palindrome (232546645232).

The spelling of 232542400000 in words is "two hundred thirty-two billion, five hundred forty-two million, four hundred thousand".